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Approach to the theory of unstable states

โœ Scribed by A Agodi; M Baldo; E Recami


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
812 KB
Volume
77
Category
Article
ISSN
0003-4916

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โœฆ Synopsis


In this work, a new method introduced by one of us (A.A.) has been followed, in order to analyze the effects produced by an internal (virtual) state I 4) on the transition amplitudes and, in particular, to single out the necessary conditions that I 4) is connected with a resonance in the cross section. In the case of potential scattering, for instance, the resonance determination by means of the Kapur and Peierls method is shown to be equivalent to the determination of the spectral function of a quasi self-adjoint operator (whose anti-Hermitian part is defined by means of a single state).

In general, by associating unstable states with the eigenvalues of quasi self-adjoint Hamiltonians, a new definition of Resonance may be given.

The application of this method to the study of resonances related to a spherical-well potential seems to confirm the validity of our method.


๐Ÿ“œ SIMILAR VOLUMES


DODS natural-orbital CI (DODS-NO CI) app
โœ K. Yamaguchi; S. Yabushita; O. Minokawa; T. Fueno ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 436 KB

The electronic structures of the excited states of a few substituted ethylenes in the planar and perpendicularly twisted forms were investigated by the RHF CI and DOD%NO CI methods in the INDO approximation. It was found that the htrer method provides reasonable descriptions of the lower-lying excit